Results 51 to 60 of about 14,364 (164)

Multiple nodal solutions of nonlinear Choquard equations

Electronic Journal of Differential Equations, 2017
In this article, we consider the existence of multiple nodal solutions of the nonlinear Choquard equation $$\displaylines{ -\Delta u+u=(|x|^{-1}\ast|u|^p)|u|^{p-2}u \quad \text{in }\mathbb{R}^3,\cr u\in H^1(\mathbb{R}^3), }$$ where $p\in (5/2,5 ...
Zhihua Huang, Jianfu Yang, Weilin Yu
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Localized nodal solutions for parameter-dependent quasilinear Schrodinger equations

Electronic Journal of Differential Equations, 2021
In this article, we apply a new variational perturbation method to study the existence of localized nodal solutions for parameter-dependent semiclassical quasilinear Schrodinger equations, under a certain parametric conditions.
Rui He, Xiangqing Liu
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Nodal Solutions of the p-Laplacian with Sign-Changing Weight

Abstract and Applied Analysis, 2013
We are concerned with determining values of , for which there exist nodal solutions of the boundary value problem , where is a sign-changing function, with . The proof of our main results is based upon global bifurcation techniques.
Ruyun Ma, Xilan Liu, Jia Xu
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On some spectral properties of third order nonlinear boundary value problems

Mathematical Modelling and Analysis, 2012
The present paper deals with a two point the third-order nonlinear boundary value problem. An estimation of the number of solutions to boundary value problem and their nodal structure are established.
Sergey Smirnov
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Existence and Asymptotic Profile of Nodal Solutions to Supercritical Problems

Advanced Nonlinear Studies, 2017
We establish the existence of nodal solutions to the supercritical ...
Clapp Mónica, Pacella Filomena
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Exact multiplicity of solutions for a class of two-point boundary value problems

Electronic Journal of Differential Equations, 2010
We consider the exact multiplicity of nodal solutions of the boundary value problem $$displaylines{ u''+lambda f(u)=0 , quad tin (0, 1),cr u'(0)=0,quad u(1)=0, }$$ where $lambda in mathbb{R}$ is a positive parameter. $fin C^1(mathbb{R}, mathbb{R})$
Yulian An, Ruyun Ma
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Nodal solutions for a zero-mass Chern-Simons-Schrödinger equation

Advances in Nonlinear Analysis
This study deals with the existence of nodal solutions for the following gauged nonlinear Schrödinger equation with zero mass: −Δu+hu2(∣x∣)∣x∣2+∫∣x∣+∞hu(s)su2(s)dsu=∣u∣p−2u,x∈R2,-\Delta u+\left(\frac{{h}_{u}^{2}\left(| x| )}{{| x| }^{2}}+\underset{| x| }{
Deng Yinbin, Liu Chenchen, Yang Xian
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Nodal solutions to Paneitz-type equations

Journal of Mathematical Analysis and Applications
On a closed Riemannian manifold $(M^n ,g)$ with a proper isoparametric function $f$ we consider the equation $Δ^2 u -αΔu +βu = u^q$, where $α$ and $β$ are positive constants satisfying that $α^2 \geq 4 β$. We let ${\bf m}$ be the minimum of the dimensions of the focal varieties of $f$ and $q_f = \frac{n-{\bf m}+4}{n-{\bf m}-4}$, $q_f = \infty$ if $n ...
Julio-Batalla, Jurgen, Petean, Jimmy
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Nodal solutions for Neumann systems with gradient dependence

Boundary Value Problems
We consider the following convective Neumann systems: ( S ) { − Δ p 1 u 1 + | ∇ u 1 | p 1 u 1 + δ 1 = f 1 ( x , u 1 , u 2 , ∇ u 1 , ∇ u 2 ) in  Ω , − Δ p 2 u 2 + | ∇ u 2 | p 2 u 2 + δ 2 = f 2 ( x , u 1 , u 2 , ∇ u 1 , ∇ u 2 ) in  Ω , | ∇ u 1 | p 1 − 2 ...
Kamel Saoudi, Eadah Alzahrani, Dušan D. Repovš   +2 more
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Nodal solutions for singular second-order boundary-value problems

Electronic Journal of Differential Equations, 2014
We use a global bifurcation theorem to prove the existence of nodal solutions to the singular second-order two-point boundary-value problem $$\displaylines{ -( pu') '(t)=f(t,u(t))\quad t\in ( \xi ,\eta) , \cr au(\xi )-b\lim_{t\to\xi} p(t)u'(t)=0 ...
Abdelhamid Benmezai, Wassila Esserhane, Johnny Henderson   +2 more
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